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I want to fill the area of a region R bounded by x=f(y), x=g(y), y=A and y=B. For example, R is bounded by x=0, x=2/y, y=1 and y=4.

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Does tex.stackexchange.com/questions/17517/… help? –  Peter Grill Jun 22 '11 at 19:26
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2 Answers

A solution with TikZ :


\begin{tikzpicture}[scale=2,domain=0.4:5] \draw[very thin,color=gray] (-0.1,-0.1) grid (5,5);
\draw[->] (-0.2,0) -- (5.2,0) node[right] (axex) {$x$}; \
\draw[->] (0,-0.2) -- (0,5.2) node[above] {$f(x)$};     
\draw[color=red,samples=100]    plot (\x,2/\x)  node[right] {$f(x) =\frac{2}{x}$};
\path[clip] (0,1) rectangle (5,4);    
\path[fill=gray!50,opacity=.5] (0,0)--(0,4)--plot (\x,2/\x)-|(axex)--cycle;

enter image description here

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the solution can be adapted if y=1.25 \path[clip] (0,1.25) rectangle (5,4); –  Alain Matthes Jun 23 '11 at 9:19
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run it with xelatex





enter image description here

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